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RESEARCH PAPERS

# Mechanism Dynamics Sequence-Solution Method and Its Application

[+] Author and Article Information
Zhao Yun

College of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, Chinazhaoyun@zstu.edu.cn

Yu Gao-Hong

College of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, Chinayugh@zstu.edu.cn

Chen Jian-Neng, Li Ge

College of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China

J. Comput. Nonlinear Dynam 2(2), 105-113 (Dec 08, 2006) (9 pages) doi:10.1115/1.2447074 History: Received April 20, 2005; Revised December 08, 2006

## Abstract

In order to eliminate the interference of reverse-driving and the positive or negative value of normal pressure on the direction of frictional force, in solving mechanism dynamics equations, a dynamics sequence solution (DSS) is proposed. For this purpose a moment equation about joints for links is proposed, and it, together with the traditional mechanics equation of links, forms a dynamic-equation set, to provide a basic equation set of mechanism dynamics. In order to explain DSS, the force at a particular joint is considered in terms of the normal and tangential directions, and the resolution of the problem using a four-bar linkage mechanism as an example, are explained. The solution procedures diagrams for different driving types of reverse-driving force, as well as the solution process for friction force under normal pressure, are described. With a dry-straw-compression mechanism as the example, a dynamic model of the mechanism is established, and the above proposed DSS is used to find unknown forces. Finally, the dynamic characteristics of rotary-transplanting mechanisms (the key component of high-speed rice transplanter) are analyzed, through the proposed DSS, and the results are verified in a test-bed situation. The consistency of the test results with the theoretical ones shows that the proposed DSS is able to effectively solve the dynamics equations of complicated mechanisms. In this part, the authors introduced DSS and discussed the feasibility of its application.

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## Figures

Figure 1

Applied forces of crank-rocker mechanism

Figure 2

Dynamic analysis of chain

Figure 3

Solution of driving force of chain

Figure 4

Dynamic analysis of belt

Figure 5

Solution the driving force of belt

Figure 6

Applied force of gear transmission

Figure 7

Flow chart of solution procedure

Figure 8

Friction moment solution

Figure 9

Calculation of N

Figure 10

Sequence solution to calculate N

Figure 11

Dry straw compressor mechanism

Figure 12

Forces analysis of dry straw compressor mechanism

Figure 13

Flow chart of sequence solution process of dynamic equations

Figure 14

Transplanting mechanism with elliptical gears

Figure 15

The dynamic test bed

Figure 16

Force diagram of seedling-push device

Figure 17

Force diagram of the transplanting mechanism

Figure 18

Sequence solution flow chart for solving unknown forces

Figure 19

Relationship between forces suffered by chain and rotation angle of planetary frame

Figure 20

Relationship between vertical forces of transplanting mechanism base and the rotation angle of planetary frame

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